LCM of 571, 529, 414, 978, 524
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 571, 529, 414, 978, 524 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 571, 529, 414, 978, 524. So, keep reading to learn more.
Given numbers are 571,529,414,978,524
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 571,529,414,978,524 is 232195169772.
Find LCM of 571,529,414,978,524 with Prime Factorization
| 2 | 571, 529, 414, 978, 524 |
| 3 | 571, 529, 207, 489, 262 |
| 23 | 571, 529, 69, 163, 262 |
| 571, 23, 3, 163, 262 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 571 x 23 x 3 x 163 x 262 = 232195169772
Therefore, the lowest common multiple of 571,529,414,978,524 is 232195169772.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
571 x 529 x 414 x 978 x 524 = 64085866857072
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
571 : 1, 571
529 : 1, 23, 529
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
978 : 1, 2, 3, 6, 163, 326, 489, 978
524 : 1, 2, 4, 131, 262, 524
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 571,529,414,978,524, is 1.
Now, the common factors can be found like this.
571:571
529:23x 23
414:2x 3x 3x 23
978:2x 3x 163
524:2x 2x 131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 23 = 276
Therefore, the value for common factors is 276.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 64085866857072/(1x276)
LCM = 64085866857072/276
LCM = 232195169772
Thus, we can understand that the LCM of 571,529,414,978,524 is 232195169772.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 571, 529, 414, 978, 524
1. What is the LCM of 571, 529, 414, 978, 524?
Answer: LCM of 571, 529, 414, 978, 524 is 232195169772.
2. How to calculate the LCM of 571, 529, 414, 978, 524?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 571, 529, 414, 978, 524.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.